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Home > Archives > Seminars: September 1996–July 2012 > Seminars: programs 2011-2012 > Mathematics and Philosophy, 19th and 20eth Centuries /2011–2012

Axe Histoire et philosophie des mathématiques

Mathematics and Philosophy, 19th and 20eth Centuries /2011–2012

Phds and students Workgroup



Organization: Sylvain Cabanacq,
Emmylou Haffner,
David Rabouin


On Wednesdays, 10:00 am – 13:00 pm, room Rothko (412B).



This working group aims to build an informal space for PhD students working on 19th and 20th Century, whether they are historians or philosophers, to discuss and work together as well as with researchers, students in mathematics and master students.

No prerequisites are expected from participants. On the contrary, the idea is to share historical knowledge, mathematical skills, philosophical insights and points of view. Our starting points will go from recent papers, discussed together, to mathematical theories (for example, group representation) or more “classical” historical and philosophical writings (Weyl, Lautman, …). This year, the group will be organized in series of sessions united by a theme. A large part of each session will be devoted to questions and discussion.




To current year and archives 2011–



PROGRAM 2011-2012




Homotopy theory


Sept. 21

Elements of the history of homotopy theory

séance animée par Renaud Chorlay



Oct. 5

Philosophical issues and questions raised by the theory

Sylvain Cabanacq



Oct. 19

Some technical notions and results

Brice Halimi





19th and early 20th century


Nov. 16

Hermann Weyl, "Die Idee der Riemannschen Fläche"

Christophe Eckes



Nov. 30

On "modernism" as a historiographical category: some perplexities about purity of method and axiomatic thinking

Ivahn Smadja



Dec. 14 - !! Two sessions !!

Dedekind and Weber, "Theorie der algebraischen Funktionen einer Veränderlichen"

Emmylou Haffner


14h-17h
Dedekind as a philosopher
Jamie Tappenden (University of Michigan, Ann Arbor)



Jan. 11

Birth of homology and homotopy in Poincaré and Brouwer

Ramzi Kebaili





Lie Groups and Algebras



Jan. 25


Joël Merker and Christophe Eckès



Feb. 01


Joël Merker and Christophe Eckès



Feb. 15


La représentation des groupes de Lie selon Hermann Weyl: questions philosophiques.
Benoît Timmermans (ULB)




March 14 !! room Klimt, 366A !!
TBA




Concepts?



March 28


Around Cavaillès’ philosophy
Sylvain Cabanacq and Baptiste Mélès



April 12


!! exceptionnally Room 267A !!

Nous écouterons un échange entre Karine Chemla et David Rabouin sur l’utilisation des notions de concept et d’objet en histoire des mathématique. Partant d’une tentative de préciser ce que signifie faire une histoire "conceptuelle", nous interrogerons les possibilités d’actuelle(s) identification(s) d’un "concept" du point de vue d’une évolution historique. De là, émergent des questions comme : un concept peut-il avoir une histoire ? Comment caractérise-t-on, alors, les évolutions d’un concept ?

Bibliographie indicative :

- Hilary Putnam (1975), "Langage et réalité", in Laugier & Wagner, Philosophie des sciences, vol. II: naturalismes et réalismes, pp.73-104.

- Dagfinn Føllesdal & David Bell (1994), “Objects and Concepts”, Aristotelian Society Supplementary, vol. 68, pp. 131-166.





April 25
Sur la théorie algébrique des ensembles
Brice Halimi (SPHERE)


May 09
!! Room Mondrian, 646A !!

TBA



May 23
!! Room Klimt, 366A !!

TBA








Abstraction in a mathematical context


Working group co-organized by Jean-Pierre MARQUIS, Pr. at the Université de Montréal and visiting researcher at SPHERE, and Jean-Jacques SZCZECINIARZ

Would it be possible to define a form of abstraction that could be specifically mathematical? On the contrary, is it necessary to consider different kinds of abstraction, according to the mathematical contexts in which such a procedure is used (topology, algebraic geometry, algebra…) or to the theories that allow us to characterize it (category theory, model theory, topos theory…)?




June 5, 10h - 13h
, room Rothko (412B)

David Rabouin

The different kinds of abstraction in Aristotle’s philosophy

Jean-Jacques Szczeciniarz

Russell reading Aristotle, according to Jules Vuillemin (Logique et monde sensible)




June 7, 14h - 17h
, room Rothko (412B)

Jean-Pierre Marquis




June 13, 10h - 13h
, room Malevitch (483A)

Emmylou Haffner

Abstraction in Dedekind’s works

Sylvain Cabanacq

"Abstract" and "concrete" in Lautman and Weyl.




June 21, 10h - 13h
, room Malevitch (483A)

Jean-Jacques Szczeciniarz

About Property, Structure and Stuff (Baez, Dolan et alii.)


Houry Benis-Sinaceur

TBA




June 30, 14h30 - 17h30
, room Malevitch (483A)

Jean-Pierre Marquis

Concluding remarks and perspectives